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<meta http-equiv="content-type" content="text/html; charset=utf-8" name="description" content="GPTIPS 2 pareto report" name="author" content="Dominic Searson"/>
<title>GPTIPS pareto front report.</title>
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<script type="text/javascript">google.load('visualization', '1', {packages: ['table']});
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<script type="text/javascript">
function drawPerformanceTable() {
var data = new google.visualization.DataTable();
data.addColumn('number','Model ID');
data.addColumn('number','Goodness of fit (R<sup>2</sup>)');
data.addColumn('number','Model complexity');
data.addColumn('string','Model');
data.addRows(17);
data.setCell(0,0, 15);
data.setCell(0,1, 0.984);
data.setCell(0,2, 136);
data.setCell(0,3, '4.37 cos(x<span style="position:relative;top: 0.3em;font-size:0.7em">4</span> + tan(x<span style="position:relative;top: 0.3em;font-size:0.7em">5</span>)) - 4.32 sin(tan(x<span style="position:relative;top: 0.3em;font-size:0.7em">5</span>)) - 0.0294 cos(x<span style="position:relative;top: 0.3em;font-size:0.7em">5</span> - 8.9 x<span style="position:relative;top: 0.3em;font-size:0.7em">6</span> + 9.75) - 4.32 cos(x<span style="position:relative;top: 0.3em;font-size:0.7em">4</span> + x<span style="position:relative;top: 0.3em;font-size:0.7em">5</span>) + 4.23 tan(x<span style="position:relative;top: 0.3em;font-size:0.7em">5</span>) + 1.98 x<span style="position:relative;top: 0.3em;font-size:0.7em">6</span> sin(x<span style="position:relative;top: 0.3em;font-size:0.7em">4</span> + x<span style="position:relative;top: 0.3em;font-size:0.7em">5</span>) - 0.277 x<span style="position:relative;top: 0.3em;font-size:0.7em">4</span> x<span style="position:relative;top: 0.3em;font-size:0.7em">6</span> sin(x<span style="position:relative;top: 0.3em;font-size:0.7em">4</span> + x<span style="position:relative;top: 0.3em;font-size:0.7em">5</span>) + 0.174 tan(x<span style="position:relative;top: 0.3em;font-size:0.7em">4</span> + x<span style="position:relative;top: 0.3em;font-size:0.7em">5</span>) cos(x<span style="position:relative;top: 0.3em;font-size:0.7em">4</span>) tan(x<span style="position:relative;top: 0.3em;font-size:0.7em">5</span>) - 0.0755');
data.setCell(1,0, 19);
data.setCell(1,1, 0.984);
data.setCell(1,2, 132);
data.setCell(1,3, '4.49 cos(x<span style="position:relative;top: 0.3em;font-size:0.7em">4</span> + tan(x<span style="position:relative;top: 0.3em;font-size:0.7em">5</span>)) - 4.46 sin(tan(x<span style="position:relative;top: 0.3em;font-size:0.7em">5</span>)) + 0.026 cos(8.9 x<span style="position:relative;top: 0.3em;font-size:0.7em">6</span> - 1.0 tan(x<span style="position:relative;top: 0.3em;font-size:0.7em">5</span>)) - 4.46 cos(x<span style="position:relative;top: 0.3em;font-size:0.7em">4</span> + x<span style="position:relative;top: 0.3em;font-size:0.7em">5</span>) + 4.36 tan(x<span style="position:relative;top: 0.3em;font-size:0.7em">5</span>) + 1.97 x<span style="position:relative;top: 0.3em;font-size:0.7em">6</span> sin(x<span style="position:relative;top: 0.3em;font-size:0.7em">4</span> + x<span style="position:relative;top: 0.3em;font-size:0.7em">5</span>) - 0.277 x<span style="position:relative;top: 0.3em;font-size:0.7em">4</span> x<span style="position:relative;top: 0.3em;font-size:0.7em">6</span> sin(x<span style="position:relative;top: 0.3em;font-size:0.7em">4</span> + x<span style="position:relative;top: 0.3em;font-size:0.7em">5</span>) + 0.176 tan(x<span style="position:relative;top: 0.3em;font-size:0.7em">4</span> + x<span style="position:relative;top: 0.3em;font-size:0.7em">5</span>) cos(x<span style="position:relative;top: 0.3em;font-size:0.7em">4</span>) tan(x<span style="position:relative;top: 0.3em;font-size:0.7em">5</span>) - 0.0626');
data.setCell(2,0, 57);
data.setCell(2,1, 0.984);
data.setCell(2,2, 128);
data.setCell(2,3, '4.44 cos(x<span style="position:relative;top: 0.3em;font-size:0.7em">4</span> + tan(x<span style="position:relative;top: 0.3em;font-size:0.7em">5</span>)) + 0.0276 cos(x<span style="position:relative;top: 0.3em;font-size:0.7em">5</span> - 8.9 x<span style="position:relative;top: 0.3em;font-size:0.7em">6</span>) - 4.4 sin(tan(x<span style="position:relative;top: 0.3em;font-size:0.7em">5</span>)) - 4.4 cos(x<span style="position:relative;top: 0.3em;font-size:0.7em">4</span> + x<span style="position:relative;top: 0.3em;font-size:0.7em">5</span>) + 4.3 tan(x<span style="position:relative;top: 0.3em;font-size:0.7em">5</span>) + 2.0 x<span style="position:relative;top: 0.3em;font-size:0.7em">6</span> sin(x<span style="position:relative;top: 0.3em;font-size:0.7em">4</span> + x<span style="position:relative;top: 0.3em;font-size:0.7em">5</span>) - 0.281 x<span style="position:relative;top: 0.3em;font-size:0.7em">4</span> x<span style="position:relative;top: 0.3em;font-size:0.7em">6</span> sin(x<span style="position:relative;top: 0.3em;font-size:0.7em">4</span> + x<span style="position:relative;top: 0.3em;font-size:0.7em">5</span>) + 0.175 tan(x<span style="position:relative;top: 0.3em;font-size:0.7em">4</span> + x<span style="position:relative;top: 0.3em;font-size:0.7em">5</span>) cos(x<span style="position:relative;top: 0.3em;font-size:0.7em">4</span>) tan(x<span style="position:relative;top: 0.3em;font-size:0.7em">5</span>) - 0.07');
data.setCell(3,0, 104);
data.setCell(3,1, 0.983);
data.setCell(3,2, 114);
data.setCell(3,3, '4.56 cos(x<span style="position:relative;top: 0.3em;font-size:0.7em">4</span> + tan(x<span style="position:relative;top: 0.3em;font-size:0.7em">5</span>)) - 4.52 sin(tan(x<span style="position:relative;top: 0.3em;font-size:0.7em">5</span>)) - 4.52 cos(x<span style="position:relative;top: 0.3em;font-size:0.7em">4</span> + x<span style="position:relative;top: 0.3em;font-size:0.7em">5</span>) - 0.0351 cos(x<span style="position:relative;top: 0.3em;font-size:0.7em">5</span>) + 4.4 tan(x<span style="position:relative;top: 0.3em;font-size:0.7em">5</span>) + 1.91 x<span style="position:relative;top: 0.3em;font-size:0.7em">6</span> sin(x<span style="position:relative;top: 0.3em;font-size:0.7em">4</span> + x<span style="position:relative;top: 0.3em;font-size:0.7em">5</span>) - 0.268 x<span style="position:relative;top: 0.3em;font-size:0.7em">4</span> x<span style="position:relative;top: 0.3em;font-size:0.7em">6</span> sin(x<span style="position:relative;top: 0.3em;font-size:0.7em">4</span> + x<span style="position:relative;top: 0.3em;font-size:0.7em">5</span>) + 0.178 tan(x<span style="position:relative;top: 0.3em;font-size:0.7em">4</span> + x<span style="position:relative;top: 0.3em;font-size:0.7em">5</span>) cos(x<span style="position:relative;top: 0.3em;font-size:0.7em">4</span>) tan(x<span style="position:relative;top: 0.3em;font-size:0.7em">5</span>) - 0.00835');
data.setCell(4,0, 138);
data.setCell(4,1, 0.983);
data.setCell(4,2, 125);
data.setCell(4,3, '4.44 cos(x<span style="position:relative;top: 0.3em;font-size:0.7em">4</span> + tan(x<span style="position:relative;top: 0.3em;font-size:0.7em">5</span>)) - 0.0434 cos(cos(x<span style="position:relative;top: 0.3em;font-size:0.7em">4</span> + x<span style="position:relative;top: 0.3em;font-size:0.7em">5</span>)) - 4.42 sin(tan(x<span style="position:relative;top: 0.3em;font-size:0.7em">5</span>)) - 4.42 cos(x<span style="position:relative;top: 0.3em;font-size:0.7em">4</span> + x<span style="position:relative;top: 0.3em;font-size:0.7em">5</span>) + 4.31 tan(x<span style="position:relative;top: 0.3em;font-size:0.7em">5</span>) + 1.91 x<span style="position:relative;top: 0.3em;font-size:0.7em">6</span> sin(x<span style="position:relative;top: 0.3em;font-size:0.7em">4</span> + x<span style="position:relative;top: 0.3em;font-size:0.7em">5</span>) - 0.268 x<span style="position:relative;top: 0.3em;font-size:0.7em">4</span> x<span style="position:relative;top: 0.3em;font-size:0.7em">6</span> sin(x<span style="position:relative;top: 0.3em;font-size:0.7em">4</span> + x<span style="position:relative;top: 0.3em;font-size:0.7em">5</span>) + 0.176 tan(x<span style="position:relative;top: 0.3em;font-size:0.7em">4</span> + x<span style="position:relative;top: 0.3em;font-size:0.7em">5</span>) cos(x<span style="position:relative;top: 0.3em;font-size:0.7em">4</span>) tan(x<span style="position:relative;top: 0.3em;font-size:0.7em">5</span>) - 0.00114');
data.setCell(5,0, 298);
data.setCell(5,1, 0.983);
data.setCell(5,2, 111);
data.setCell(5,3, '4.57 cos(x<span style="position:relative;top: 0.3em;font-size:0.7em">4</span> + tan(x<span style="position:relative;top: 0.3em;font-size:0.7em">5</span>)) - 4.53 sin(tan(x<span style="position:relative;top: 0.3em;font-size:0.7em">5</span>)) - 4.53 cos(x<span style="position:relative;top: 0.3em;font-size:0.7em">4</span> + x<span style="position:relative;top: 0.3em;font-size:0.7em">5</span>) + 4.42 tan(x<span style="position:relative;top: 0.3em;font-size:0.7em">5</span>) + 1.91 x<span style="position:relative;top: 0.3em;font-size:0.7em">6</span> sin(x<span style="position:relative;top: 0.3em;font-size:0.7em">4</span> + x<span style="position:relative;top: 0.3em;font-size:0.7em">5</span>) - 0.268 x<span style="position:relative;top: 0.3em;font-size:0.7em">4</span> x<span style="position:relative;top: 0.3em;font-size:0.7em">6</span> sin(x<span style="position:relative;top: 0.3em;font-size:0.7em">4</span> + x<span style="position:relative;top: 0.3em;font-size:0.7em">5</span>) + 0.178 tan(x<span style="position:relative;top: 0.3em;font-size:0.7em">4</span> + x<span style="position:relative;top: 0.3em;font-size:0.7em">5</span>) cos(x<span style="position:relative;top: 0.3em;font-size:0.7em">4</span>) tan(x<span style="position:relative;top: 0.3em;font-size:0.7em">5</span>) - 0.0384');
data.setCell(6,0, 360);
data.setCell(6,1, 0.486);
data.setCell(6,2, 29);
data.setCell(6,3, '0.359 tan(x<span style="position:relative;top: 0.3em;font-size:0.7em">5</span>) - 0.359 cos(x<span style="position:relative;top: 0.3em;font-size:0.7em">4</span> + x<span style="position:relative;top: 0.3em;font-size:0.7em">5</span>) - 0.359 sin(tan(x<span style="position:relative;top: 0.3em;font-size:0.7em">5</span>)) + 0.358');
data.setCell(7,0, 395);
data.setCell(7,1, 0.484);
data.setCell(7,2, 25);
data.setCell(7,3, '0.314 cos(x<span style="position:relative;top: 0.3em;font-size:0.7em">5</span> - 8.9 x<span style="position:relative;top: 0.3em;font-size:0.7em">6</span> + 9.75) + 0.3');
data.setCell(8,0, 528);
data.setCell(8,1, 0.923);
data.setCell(8,2, 30);
data.setCell(8,3, '1.64 abs(tan(x<span style="position:relative;top: 0.3em;font-size:0.7em">5</span> x<span style="position:relative;top: 0.3em;font-size:0.7em">6</span>)) + 0.227 tan(x<span style="position:relative;top: 0.3em;font-size:0.7em">5</span><span style="position:relative;bottom: 0.3em;font-size:0.7em">2</span>)<span style="position:relative;bottom: 0.3em;font-size:0.7em">2</span> - 0.182 x<span style="position:relative;top: 0.3em;font-size:0.7em">5</span><span style="position:relative;bottom: 0.3em;font-size:0.7em">4</span> + 1.8e-5');
data.setCell(9,0, 749);
data.setCell(9,1, 0.98);
data.setCell(9,2, 102);
data.setCell(9,3, '2.65 abs(tan(x<span style="position:relative;top: 0.3em;font-size:0.7em">5</span> x<span style="position:relative;top: 0.3em;font-size:0.7em">6</span>)) - 0.122 x<span style="position:relative;top: 0.3em;font-size:0.7em">6</span> - 0.122 x<span style="position:relative;top: 0.3em;font-size:0.7em">5</span> + 0.122 tan(x<span style="position:relative;top: 0.3em;font-size:0.7em">4</span> + x<span style="position:relative;top: 0.3em;font-size:0.7em">5</span>) - 4.86 x<span style="position:relative;top: 0.3em;font-size:0.7em">5</span><span style="position:relative;bottom: 0.3em;font-size:0.7em">2</span> x<span style="position:relative;top: 0.3em;font-size:0.7em">6</span><span style="position:relative;bottom: 0.3em;font-size:0.7em">2</span> + 5.54 x<span style="position:relative;top: 0.3em;font-size:0.7em">5</span><span style="position:relative;bottom: 0.3em;font-size:0.7em">2</span> x<span style="position:relative;top: 0.3em;font-size:0.7em">6</span><span style="position:relative;bottom: 0.3em;font-size:0.7em">3</span> - 1.76 x<span style="position:relative;top: 0.3em;font-size:0.7em">5</span><span style="position:relative;bottom: 0.3em;font-size:0.7em">2</span> x<span style="position:relative;top: 0.3em;font-size:0.7em">6</span><span style="position:relative;bottom: 0.3em;font-size:0.7em">4</span> + 0.3 tan(x<span style="position:relative;top: 0.3em;font-size:0.7em">5</span><span style="position:relative;bottom: 0.3em;font-size:0.7em">2</span>)<span style="position:relative;bottom: 0.3em;font-size:0.7em">2</span> - 0.501 x<span style="position:relative;top: 0.3em;font-size:0.7em">4</span><span style="position:relative;bottom: 0.3em;font-size:0.7em">2</span> - 0.451 x<span style="position:relative;top: 0.3em;font-size:0.7em">5</span><span style="position:relative;bottom: 0.3em;font-size:0.7em">4</span> + 1.0 x<span style="position:relative;top: 0.3em;font-size:0.7em">4</span> x<span style="position:relative;top: 0.3em;font-size:0.7em">5</span> x<span style="position:relative;top: 0.3em;font-size:0.7em">6</span> - 1.19e-4');
data.setCell(10,0, 799);
data.setCell(10,1, 0.938);
data.setCell(10,2, 67);
data.setCell(10,3, '1.54 abs(tan(x<span style="position:relative;top: 0.3em;font-size:0.7em">5</span> x<span style="position:relative;top: 0.3em;font-size:0.7em">6</span>)) + 0.283 tan(x<span style="position:relative;top: 0.3em;font-size:0.7em">5</span><span style="position:relative;bottom: 0.3em;font-size:0.7em">2</span>)<span style="position:relative;bottom: 0.3em;font-size:0.7em">2</span> + 0.456 (x<span style="position:relative;top: 0.3em;font-size:0.7em">4</span> - 1.0 x<span style="position:relative;top: 0.3em;font-size:0.7em">5</span> x<span style="position:relative;top: 0.3em;font-size:0.7em">6</span>)<span style="position:relative;bottom: 0.3em;font-size:0.7em">2</span> - 0.302 x<span style="position:relative;top: 0.3em;font-size:0.7em">5</span><span style="position:relative;bottom: 0.3em;font-size:0.7em">4</span> - 4.14e-4');
data.setCell(11,0, 1018);
data.setCell(11,1, 0.979);
data.setCell(11,2, 79);
data.setCell(11,3, '72.1 cos(x<span style="position:relative;top: 0.3em;font-size:0.7em">5</span><span style="position:relative;bottom: 0.3em;font-size:0.7em">2</span>) - 78.2 cos(x<span style="position:relative;top: 0.3em;font-size:0.7em">4</span> x<span style="position:relative;top: 0.3em;font-size:0.7em">5</span><span style="position:relative;bottom: 0.3em;font-size:0.7em">2</span>) - 85.2 cos(x<span style="position:relative;top: 0.3em;font-size:0.7em">5</span><span style="position:relative;bottom: 0.3em;font-size:0.7em">2</span> cos(x<span style="position:relative;top: 0.3em;font-size:0.7em">4</span>)) - 0.0218 sin(x<span style="position:relative;top: 0.3em;font-size:0.7em">3</span>) + 0.594 tan(x<span style="position:relative;top: 0.3em;font-size:0.7em">5</span><span style="position:relative;bottom: 0.3em;font-size:0.7em">2</span>)<span style="position:relative;bottom: 0.3em;font-size:0.7em">2</span> - 7.11 x<span style="position:relative;top: 0.3em;font-size:0.7em">5</span><span style="position:relative;bottom: 0.3em;font-size:0.7em">4</span> + 7.11 x<span style="position:relative;top: 0.3em;font-size:0.7em">5</span> x<span style="position:relative;top: 0.3em;font-size:0.7em">6</span> tan(x<span style="position:relative;top: 0.3em;font-size:0.7em">3</span>) + 91.4');
data.setCell(12,0, 1102);
data.setCell(12,1, 0.982);
data.setCell(12,2, 106);
data.setCell(12,3, '82.3 cos(x<span style="position:relative;top: 0.3em;font-size:0.7em">5</span><span style="position:relative;bottom: 0.3em;font-size:0.7em">2</span>) - 88.7 cos(x<span style="position:relative;top: 0.3em;font-size:0.7em">4</span> x<span style="position:relative;top: 0.3em;font-size:0.7em">5</span><span style="position:relative;bottom: 0.3em;font-size:0.7em">2</span>) - 95.0 cos(x<span style="position:relative;top: 0.3em;font-size:0.7em">5</span><span style="position:relative;bottom: 0.3em;font-size:0.7em">2</span> cos(x<span style="position:relative;top: 0.3em;font-size:0.7em">4</span>)) - 0.822 x<span style="position:relative;top: 0.3em;font-size:0.7em">4</span><span style="position:relative;bottom: 0.3em;font-size:0.7em">2</span> x<span style="position:relative;top: 0.3em;font-size:0.7em">5</span><span style="position:relative;bottom: 0.3em;font-size:0.7em">2</span> + 0.58 tan(x<span style="position:relative;top: 0.3em;font-size:0.7em">5</span><span style="position:relative;bottom: 0.3em;font-size:0.7em">2</span>)<span style="position:relative;bottom: 0.3em;font-size:0.7em">2</span> - 6.9 x<span style="position:relative;top: 0.3em;font-size:0.7em">5</span><span style="position:relative;bottom: 0.3em;font-size:0.7em">4</span> + 6.9 x<span style="position:relative;top: 0.3em;font-size:0.7em">5</span> x<span style="position:relative;top: 0.3em;font-size:0.7em">6</span> tan(x<span style="position:relative;top: 0.3em;font-size:0.7em">3</span>) + 0.822 x<span style="position:relative;top: 0.3em;font-size:0.7em">1</span> x<span style="position:relative;top: 0.3em;font-size:0.7em">4</span> x<span style="position:relative;top: 0.3em;font-size:0.7em">6</span> + 101.0');
data.setCell(13,0, 1287);
data.setCell(13,1, 0.979);
data.setCell(13,2, 95);
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<div style="text-align: left; margin-bottom: 50px;margin-top: 50px;margin-left: 15px;"><h2>GPTIPS pareto front report</h2><p>23-Jun-2016 18:01:29</p>
<p>Config file: symreg_config.m</p>
<p>Number of models on front: 17</p><p>Total models: 1500</p><p style="margin-top: 30px;">This report shows the expressional complexity/performance characteristics (on training data) of symbolic models on the pareto front.</p><p>Numerical precision is reduced for display purposes.</p><p style="margin-bottom: 30px;">Click on column headers to sort models by expressional complexity and goodness of fit (R<sup>2</sup>).</p><div id="perf_table"></div>
<p style="color:gray;text-align:center;margin-top: 50px;">GPTIPS - the symbolic data mining platform for MATLAB</p><p style="color:gray;text-align:center;">&#169; Dominic Searson 2009-2015</p></div>
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